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74078620 = 22571124373
BaseRepresentation
bin1000110101001…
…01100110011100
312011101120202121
410122211212130
5122431003440
611203432324
71556441440
oct432454634
9164346677
1074078620
11388a7400
12209856a4
1312469105
149ba4820
15678434a
hex46a599c

74078620 has 72 divisors (see below), whose sum is σ = 195465312. Its totient is φ = 23084160.

The previous prime is 74078591. The next prime is 74078621. The reversal of 74078620 is 2687047.

It is a super-2 number, since 2×740786202 = 10975283882208800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74078621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14754 + ... + 19126.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 274078620 is an apocalyptic number.

74078620 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74078620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97732656).

74078620 is an abundant number, since it is smaller than the sum of its proper divisors (121386692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74078620 is a wasteful number, since it uses less digits than its factorization.

74078620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 74078620 is about 8606.8937486180. The cubic root of 74078620 is about 419.9822743842.

The spelling of 74078620 in words is "seventy-four million, seventy-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 4373 8470 8746 16940 17492 21865 30611 43730 48103 61222 87460 96206 122444 153055 192412 240515 306110 336721 481030 529133 612220 673442 962060 1058266 1346884 1683605 2116532 2645665 3367210 3703931 5291330 6734420 7407862 10582660 14815724 18519655 37039310 74078620